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PreprintCC BY 4.0arXiv

Stably exotic knotted surfaces up to equivalence

  • Daniel Galvin
  • Daniel Kasprowski
Open at sourcePDFDOICite

Abstract

In this short note we show the existence of stably exotic knotted surfaces in 4-manifolds in the sense that the embedded surfaces are topologically equivalent but are not smoothly equivalent even after any number of internal and external stabilisations.

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Cite

BibTeXRIS
BibTeX
@misc{galvin2026stably,
  title = {{Stably exotic knotted surfaces up to equivalence}},
  author = {Daniel Galvin and Daniel Kasprowski},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.18783},
  eprint = {2610.18783},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.18783},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Stably exotic knotted surfaces up to equivalence
AU  - Daniel Galvin
AU  - Daniel Kasprowski
PY  - 2026
DA  - 2026/10/13
PB  - arXiv
DO  - 10.48550/arxiv.2610.18783
UR  - https://arxiv.org/abs/2610.18783
AB  - In this short note we show the existence of stably exotic knotted surfaces in 4-manifolds in the sense that the embedded surfaces are topologically equivalent but are not smoothly equivalent even after any number of internal and external stabilisations.
ER  -